Hyperfine splitting in the bottomonium system on the lattice and in the continuum

Abstract

The latest experimental measurements of the hyperfine splitting $E_{\mathrm{hfs}}=M_{{\rm Y}(1S)}-M_{{\eta }_b(1S)}$ done by the Belle collaboration and the perturbative and lattice QCD predictions show a tension with the current extraction within lattice non-relativistic QCD. In this talk we revise the analysis of radiative corrections to the bottomonium hyperfine splitting within lattice non-relativistic QCD at the next-to-leading order. The result of the analysis is in good agreement with the perturbative and lattice QCD result as well as the direct measurement.

Comments: Contribution to the proceedings of the 12th International Symposium on Radiative Corrections (Radcor 2015) and LoopFest XIV (Radiative Corrections for the LHC and Future Colliders) 15-19 June 2015 UCLA Department of Physics & Astronomy Los Angeles, CA, USA. 7 pages, 2 figures